On the weak coupling spectrum of N=2 supersymmetric SU(n) gauge theory

Abstract

The weak coupling spectrum of BPS saturated states of pure $N=2$ supersymmetric SU$(n)$ gauge theory is investigated. The method uses known results on the dyon spectrum of the analogous theory with $N=4$ supersymmetry, along with the action on these states of the semi-classical monodromy transformations. For dyons whose magnetic charge is not a simple root of the Lie algebra, it is found that the weak coupling region is divided into a series of domains, for which the dyons have different electric charge, separated by walls on which the dyons decay. The proposed spectrum is shown to be consistent with the exact solution of the theory at strong coupling in the sense that the states at weak coupling can account for the singularities at strong coupling.

19 pages, plain tex with macro included, 6 figures included using psfig.tex

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Cited by in corpus (15)

• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Monopole Dynamics and BPS Dyons N=2 Super-Yang-Mills Theories
• Counting Yang-Mills Dyons with Index Theorems
• Marginal Stability and the Metamorphosis of BPS States
• Semi-classical spectrum of the Homogeneous sine-Gordon theories
• The BPS Spectrum of N=2 SU(N) SYM and Parton Branes
• Semiclassical framed BPS states
• 5D BPS Quivers and KK Towers
• The BPS Spectrum Generator In 2d-4d Systems
• Dyon electric charge and fermion fractionalization
• Partition function of N=2* SYM on a large four-sphere
• BPS Spectrum of Supersymmetric CP(N-1) Theory with Z_N Twisted Masses
• Wall Crossing Structures and Application to SU(3) Seiberg-Witten Integrable system
• On the Moduli Space of SU(3) Seiberg-Witten Theory with Matter
• Moduli Space and Wall-Crossing Formulae in Higher-Rank Gauge Theories